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olga55 [171]
2 years ago
6

How to find two consecutive numbers whose squares differ by 15?

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
4 0
Let x is the first no. then the other no. will obviously be (x+1)

according to question,
(x+1)²- x²= 15
x² +2x+1 - x² = 15 ( using (a+b)²= a²+ b² + 2ab )
2x + 1 = 15
2x = 14
x = 7

hence numbers are x = 7 and x +1 = 7+1 = 8
also 8²-7² = 64-49 = 15

hence the numbers are 7 and 8

hope it helped
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The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

Download pdf
4 0
3 years ago
Read 2 more answers
What are the intercept of 2X+3y= 6z=30
sattari [20]

The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).

<h3>What are the intercepts of the equation as give in the task content?</h3>

The x-intercept of the given equation can be determined by setting values of y and z to zero.

The y-intercept can be determined by setting x and z to zero.

While the z-intercept can be determined by setting x and y to zero.

Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.

Therefore, we have; (15,0,0)

The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)

And hence, the z-intercept is; z = 30/6 = 5.

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A recipe for lemon bars called for 9" X 13" pan. How many 1" X 1" bars can be cut? How many 2" X 2" bars can be cut? How much is
gregori [183]

The number of bars which can be cut for the 1" X 1" and 2" X 2" square bars are; 117 and 29 units respectively.

<h3>How many bars can be cut from the pan in each case?</h3>

The total area of the given pan can be evaluated as follows;

Area = length × width

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Hence, the number of 1" X 1" bars can be cut which can be cut from the pan;

= 117/(1×1)

= 117 1" X 1" bars.

For the 2" X 2" square bars, we have;

= 117/(2×2);

29 remainder 1 square unit.

Ultimately, one square unit of the pan is wasted for the 2" X 2" square bars.

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8 0
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I’m struggling on both of them can you give both answers
Leona [35]

4.16 hours and 4 cups

Step-by-step explanation:

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Aleksandr-060686 [28]

I believe the answer is 4.

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